Gravitational Scattering in the c = 1 Matrix Model

Abstract

The $c=1$ matrix model is equivalent to $1+1$ dimensional string theory. However, the tachyon self-interaction in the former is local, while in the latter it is nonlocal due to the gravitational, dilaton and higher string fields. By studying scattering of classical pulses we show that the appropriate nonlocal field redefinition converts the local matrix model interaction into the expected string form. In particular, we see how the asymptotic behavior of the gravitational field appears in the scattering.

20 pages + 2 figures (included as a uufile), LaTeX

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• Strings from Tachyons
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• On the S-matrix of Type 0 String Theory
• Entanglement entropy in two dimensional string theory
• Black Hole Non-Formation in the Matrix Model
• Rolling Tachyon Boundary State, Conserved Charges and Two Dimensional String Theory
• On the Nonperturbative Consistency of $d=2$ String Theory
• Folds, Bosonization and non-triviality of the classical limit of 2D string theory
• Quantum quench in matrix models: Dynamical phase transitions, Selective equilibration and the Generalized Gibbs Ensemble
• Gauge Invariant Target Space Entanglement in D-Brane Holography
• Spacelike boundaries from the c=1 Matrix Model
• Discrete State Moduli of String Theory from c=1 Matrix Model
• What does strong subadditivity tell us about black holes?
• Stringy Horizons and UV/IR Mixing
• Target Space Entanglement Entropy
• Black holes and holography
• Wilson Loops, Winding modes, and Domain Walls in Finite Temperature QCD
• Degrees of freedom in two dimensional string theory
• Resolving the black hole information paradox
• Stochastic Hamiltonian for Non-Critical String Field Theories from Double-Scaled Matrix Models
• Solitons and excitations in the duality-based matrix model
• String Beta Function Equations From c=1 Matrix Model
• Open String Descriptions of Space-like Singularities in Two Dimensional String Theory
• The emergence of space-time gravitational physics as an effective theory from the c=1 matrix model
• On Tachyon condensation and open-closed duality in the c=1 string theory
• On the Stringy Hartle-Hawking State
• Rolling tachyon solution of two-dimensional string theory
• Doubling of Scattering Phase Shifts for Two Dimensional Strings
• Into the bulk: reconstructing spacetime from the c=1 matrix model
• Spacetime has a `thickness'
• On Consistent Boundary Conditions for c=1 String Theory
• Time-dependent backgrounds of two dimensional string theory from the $c=1$ matrix model
• Quantum Quench in $c=1$ Matrix Model and Emergent Space-times
• Vacuum States in 2D Tachyon Effective Action
• S matrix of collective field theory
• Perturbative Calculations in the Effective Lagrangian and $2D$ Closed String Field Theory
• Ensemble averaging in JT gravity from entanglement in Matrix Quantum Mechanics
• Ward Identities of W_{\infty} Symmetry and Higher Genus Amplitudes in 2D String Theory